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Finding the Fourth Proportional to 154.22, 231.09 and 71.91

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Solution

The fourth proportional to 154.22, 231.09 and 71.91 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.22 : 231.09 = 71.91 : x
  2. Step 2: Convert to fraction form
    154.22/231.09 = 71.91/x
  3. Step 3: Cross multiply
    154.22x = 231.09 × 71.91
  4. Step 4: Simplify right side
    154.22x = 16,617.68
  5. Step 5: Solve for x
    x = 16,617.68/154.22
  6. Step 6: Final answer
    x = 107.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.